{"id":200,"date":"2023-06-24T07:21:51","date_gmt":"2023-06-24T07:21:51","guid":{"rendered":"https:\/\/physigeek.com\/pt\/redondo\/"},"modified":"2023-06-24T07:21:51","modified_gmt":"2023-06-24T07:21:51","slug":"redondo","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/redondo\/","title":{"rendered":"Redondo"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 arredondamento. Ent\u00e3o, voc\u00ea descobrir\u00e1 como arredondar n\u00fameros naturais e n\u00fameros decimais. Al\u00e9m disso, voc\u00ea pode arredondar qualquer n\u00famero usando uma calculadora online.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-redondeo\"><\/span> O que \u00e9 arredondamento?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Em matem\u00e1tica, <strong>o arredondamento<\/strong> \u00e9 um processo no qual um n\u00famero se aproxima de outro n\u00famero. Ou seja, arredondar um n\u00famero significa modificar seu valor e aproxim\u00e1-lo de outro n\u00famero muito pr\u00f3ximo.<\/p>\n<p> Por exemplo, o n\u00famero decimal 5,17692781 pode ser arredondado para 5,18. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/arrondi.png\" alt=\"exemplo de arredondamento\" class=\"wp-image-3341\" width=\"227\" height=\"226\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/arrondi-300x300.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/arrondi-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/arrondi.png 481w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> O arredondamento \u00e9 utilizado para facilitar os c\u00e1lculos, pois \u00e9 mais r\u00e1pido realizar opera\u00e7\u00f5es com n\u00fameros arredondados. Da mesma forma, o arredondamento tamb\u00e9m \u00e9 usado quando algumas casas decimais de um n\u00famero n\u00e3o s\u00e3o conhecidas com exatid\u00e3o. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Redondeo-de-numeros-naturales\"><\/span>Arredondamento de n\u00fameros naturais<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Arredondar n\u00fameros naturais<\/strong> envolve aumentar em 1 ou manter o n\u00famero para o qual deseja arredondar, e o restante dos n\u00fameros \u00e0 direita se torna 0.<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Se o d\u00edgito seguinte ao \u00faltimo d\u00edgito significativo for maior ou igual a 5, o \u00faltimo d\u00edgito significativo \u00e9 aumentado em 1 ( <strong>arredondado para cima ou para cima<\/strong> ).<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Se o d\u00edgito ap\u00f3s o \u00faltimo d\u00edgito significativo for menor que 5, o \u00faltimo d\u00edgito significativo n\u00e3o ser\u00e1 alterado ( <strong>arredondado para baixo ou para baixo<\/strong> ).<\/span><\/li>\n<\/ul>\n<p> Por exemplo, arredondando o n\u00famero 1574 para centenas, obtemos o n\u00famero 1600, pois o n\u00famero ap\u00f3s as centenas (7) \u00e9 maior que 5.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1532ea74f55a77d4cb72b51a19d69dbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 1574 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 1600\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"223\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> No entanto, o arredondamento para a dezena mais pr\u00f3xima do n\u00famero 891 permanece em 890, uma vez que o n\u00famero que vem depois da dezena \u00e9 o n\u00famero 1 e, portanto, \u00e9 menor que 5.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d6e9f7a68f045e534fd30f56bf306bd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 891 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 890\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"206\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Abaixo voc\u00ea pode ver outros <strong>exemplos de arredondamento de n\u00fameros naturais<\/strong> :<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arredondar para dezenas de 1352 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 1350<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arredonde para a centena mais pr\u00f3xima de 45851 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 45900<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Arredonde para milhares de 923802 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 924000.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Redondeo-de-numeros-decimales\"><\/span>Arredondamento de n\u00fameros decimais<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> No <strong>arredondamento de n\u00fameros decimais,<\/strong> todas as casas decimais ap\u00f3s a \u00faltima casa decimal significativa s\u00e3o eliminadas e, al\u00e9m disso, a casa decimal para a qual se deseja arredondar \u00e9 aumentada de 1 ou mantida igual, conforme o caso:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Se a casa decimal ap\u00f3s a \u00faltima casa decimal for maior ou igual a 5, a \u00faltima casa decimal ser\u00e1 aumentada em 1 ( <strong>arredondado por excesso ou por excesso<\/strong> ).<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Se a casa decimal ap\u00f3s a \u00faltima casa decimal for menor que 5, a \u00faltima casa decimal permanece a mesma ( <strong>arredondada para cima ou para baixo<\/strong> ).<\/span><\/li>\n<\/ul>\n<p> Por exemplo, o n\u00famero decimal 3,14159265 arredondado para o d\u00e9cimo mais pr\u00f3ximo \u00e9 3,1 porque o pr\u00f3ximo n\u00famero decimal (4) \u00e9 menor que 5.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cb8fd7a4232dad6a3bc1e0c62b307b48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 3.14159265 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 3.1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"259\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Por outro lado, se arredondarmos o n\u00famero decimal 52,84917 para o cent\u00e9simo, obtemos 52,85, pois o pr\u00f3ximo decimal (9) \u00e9 maior que 5.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-726107f137233116828d1f13f68c5dd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 52,84917 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 52,85\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"265\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Outros <strong>exemplos de arredondamento de n\u00fameros decimais<\/strong> s\u00e3o mostrados abaixo:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arredondado para d\u00e9cimos de 445,945 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 445,9<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arredondado para o cent\u00e9simo mais pr\u00f3ximo de 7,03522 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 7,04<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Arredondado para o mil\u00e9simo mais pr\u00f3ximo de 39,802719 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 39,803<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculadora-de-redondeo\"><\/span> Calculadora de arredondamento<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Voc\u00ea pode usar a seguinte calculadora online para arredondar qualquer n\u00famero. Basta inserir o n\u00famero a ser arredondado e selecionar o d\u00edgito para o qual deseja arredondar o n\u00famero. Os n\u00fameros devem ser inseridos usando o ponto final como ponto decimal, por exemplo 5,1869. <\/p>\n<form action=\"\" method=\"post\">\n<div style=\"line-height:50px; background:#FEF9E7; padding:15px; border:2px solid #4FD12F; border-radius:15px; margin-bottom:20px\">\n<ul style=\"color:#4FD12F\">\n<li> <span style=\"color:#000000;font-weight: normal;\">N\u00famero a arredondar: <input name=\"datos\" style=\"border:1.5px solid #4FD12F; border-radius:5px;  padding:7px; color:#000000; width: 100px\" placeholder=\"5.1869\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero a redondear aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">N\u00famero a ser arredondado: <select name=\"cifra\" style=\"border:1.5px solid #4FD12F; border-radius:5px;  padding:7px; color:#000000; width: 130px\"><option value=\"millones\">Milh\u00f5es<\/option><option value=\"centenasmillar\">Centenas de milhares<\/option><option value=\"decenasmillar\">Dezenas de milhares<\/option><option value=\"millares\">Milhares<\/option><option value=\"centenas\">Centenas<\/option><option value=\"decenas\" selected=\"selected\">Dezenas<\/option><option value=\"unidades\">Unidades<\/option><option disabled=\"disabled\" value=\"\"> <\/option><option value=\"1decimales\">D\u00e9cimos (1 casa decimal)<\/option><option value=\"2decimales\">Cent\u00e9simos (2 casas decimais)<\/option><option value=\"3decimales\">Mil\u00e9simos (3 casas decimais<\/option><option value=\"4decimales\">) Dez mil\u00e9simos (4 casas decimais) Cent\u00e9simos (5 casas decimais) Milion\u00e9simos (6 casas decimais)<\/option><option value=\"5decimales\">Dez<\/option><option value=\"6decimales\">milion\u00e9simos<\/option>(<option value=\"7decimales\">7 casas decimais) Centenas de milion\u00e9simos<\/option><option value=\"8decimales\">(8 casas decimais) ) ) Bilion\u00e9simos<\/option><option value=\"9decimales\">(9 casas decimais)<\/option><option value=\"10decimales\">Dez bilion\u00e9simos (10 casas decimais) cimais)<\/option><\/select><\/span> <\/li>\n<\/ul>\n<div style=\"text-align:center\"><input align=\"center\" style=\"font-size:105%; border-radius:30px; margin-top: 20px; margin-bottom:20px\" type=\"submit\" name=\"submit\" value=\"Redondo\"><\/div>\n<\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Redondeo-y-truncamiento\"><\/span> Arredondamento e truncamento<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Arredondamento e truncamento s\u00e3o dois m\u00e9todos de aproxima\u00e7\u00e3o diferentes, ou seja, duas formas diferentes de aproximar um n\u00famero decimal.<\/p>\n<p> <strong>O truncamento<\/strong> \u00e9 um processo matem\u00e1tico em que o n\u00famero de casas decimais \u00e9 reduzido eliminando aquelas menos significativas. Ou seja, ao truncar, todos os d\u00edgitos decimais que est\u00e3o \u00e0 direita do n\u00famero decimal que queremos aproximar s\u00e3o removidos, independentemente do seu valor.<\/p>\n<p> Por exemplo, truncando o n\u00famero 19,56891 pelos cent\u00e9simos obtemos o n\u00famero 19,56.<\/p>\n<p> A aproxima\u00e7\u00e3o de um n\u00famero pode, portanto, variar dependendo do m\u00e9todo escolhido. Observe a diferen\u00e7a entre esses dois m\u00e9todos com o exemplo a seguir:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arredondado para d\u00e9cimos de 25.397 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 25,4<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Truncamento para d\u00e9cimos de 25,397 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 25,3<\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 arredondamento. Ent\u00e3o, voc\u00ea descobrir\u00e1 como arredondar n\u00fameros naturais e n\u00fameros decimais. Al\u00e9m disso, voc\u00ea pode arredondar qualquer n\u00famero usando uma calculadora online. O que \u00e9 arredondamento? Em matem\u00e1tica, o arredondamento \u00e9 um processo no qual um n\u00famero se aproxima de outro n\u00famero. Ou seja, arredondar um n\u00famero significa modificar &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/redondo\/\"> <span class=\"screen-reader-text\">Redondo<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-200","post","type-post","status-publish","format-standard","hentry","category-numeros"],"yoast_head":"<!-- This site is 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